167260320952320 has 416 divisors, whose sum is σ = 569019905372160. Its totient is φ = 41803353948160.

The previous prime is 167260320952301. The next prime is 167260320952343. The reversal of 167260320952320 is 23259023062761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 167260320952320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249295705 + ... + 249965735.

Almost surely, 2^{167260320952320} is an apocalyptic number.

167260320952320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167260320952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284509952686080).

167260320952320 is an abundant number, since it is smaller than the sum of its proper divisors (401759584419840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167260320952320 is a wasteful number, since it uses less digits than its factorization.

167260320952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670319 (or 670297 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 167260320952320 in words is "one hundred sixty-seven trillion, two hundred sixty billion, three hundred twenty million, nine hundred fifty-two thousand, three hundred twenty".